What is the Greatest Common Factor of 697 and 703?

Greatest common factor (GCF) of 697 and 703 is 1.

GCF(697,703) = 1

We will now calculate the prime factors of 697 and 703, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 697 and 703.

How to find the GCF of 697 and 703?

We will first find the prime factorization of 697 and 703. After we will calculate the factors of 697 and 703 and find the biggest common factor number .

Step-1: Prime Factorization of 697

Prime factors of 697 are 17, 41. Prime factorization of 697 in exponential form is:

697 = 17¹ × 41¹

Step-2: Prime Factorization of 703

Prime factors of 703 are 19, 37. Prime factorization of 703 in exponential form is:

703 = 19¹ × 37¹

Step-3: Factors of 697

List of positive integer factors of 697 that divides 697 without a remainder.

1, 17, 41

Step-4: Factors of 703

List of positive integer factors of 703 that divides 697 without a remainder.

1, 19, 37

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 697 and 703. The biggest common factor number is the GCF number.
So the greatest common factor 697 and 703 is 1.

Also check out the Least Common Multiple of 697 and 703